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20 April 2024
 
  » arxiv » 1304.0800

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The asymmetric simple exclusion process with an open boundary
Craig A. Tracy ; Harold Widom ;
Date 2 Apr 2013
AbstractWe consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles.
Source arXiv, 1304.0800
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